Details

Time bar (total: 3.2s)

sample22.0ms

Algorithm
intervals
Results
10.0ms284×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0175
1325
2604
31124
41724
52314
62794
73524
84854
96484
1010744
1113584
1213994
1313994

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
3.0b
(fma (/ y (- a t)) (- z t) x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
5.0ms
(/ y (- a t))
1.0ms
(fma (/ y (- a t)) (- z t) x)

series218.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ y (- a t))
186.0ms
(fma (/ y (- a t)) (- z t) x)

simplify106.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune133.0ms

Filtered
55 candidates to 43 candidates (78.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New51455
Fresh011
Picked011
Done000
Total51657

Merged error: 0.0b

Counts
57 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* y (/ 1 (- a t)))
3.0b
(fma (* y (/ 1 (- a t))) (- z t) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
38×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
21×associate-*r*
16×add-exp-log
10×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
6×pow1
5×associate-/r*
4×div-exp prod-exp associate-/r/
3×expm1-log1p-u associate-*l* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative fma-udef inv-pow
Counts
3 → 99
Calls
3 calls:
6.0ms
(/ 1 (- a t))
11.0ms
(* y (/ 1 (- a t)))
1.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

series253.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1 (- a t))
33.0ms
(* y (/ 1 (- a t)))
184.0ms
(fma (* y (/ 1 (- a t))) (- z t) x)

simplify76.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0284497
11119429
24119381
35001381

prune177.0ms

Filtered
108 candidates to 64 candidates (59.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh044
Picked011
Done011
Total1086114

Merged error: 0.0b

Counts
114 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
3.0b
(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) (- z t) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
1.0ms
(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) (- z t) x)

series659.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (- a t))
157.0ms
(cbrt (- a t))
158.0ms
(cbrt (- a t))
188.0ms
(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) (- z t) x)

simplify62.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0190514
1454473
21693455
35002431

prune250.0ms

Filtered
73 candidates to 64 candidates (87.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh033
Picked011
Done022
Total73679

Merged error: 0.0b

Counts
79 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) (- a t)))
11.9b
(/ (* y (- z t)) (- a t))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-sqr-sqrt
7×add-exp-log add-cbrt-cube
5×add-cube-cbrt times-frac associate-/r*
4×add-log-exp
3×fma-def
2×pow1 cbrt-undiv expm1-log1p-u flip3-- associate-*r/ div-exp associate-/r/ flip-- log1p-expm1-u associate-/l/ distribute-lft-out-- difference-of-squares
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 48
Calls
2 calls:
7.0ms
(+ x (/ (* y (- z t)) (- a t)))
13.0ms
(/ (* y (- z t)) (- a t))

series150.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(+ x (/ (* y (- z t)) (- a t)))
67.0ms
(/ (* y (- z t)) (- a t))

simplify36.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0286304
11087274
25001272

prune117.0ms

Filtered
54 candidates to 43 candidates (79.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New52254
Fresh202
Picked011
Done123
Total55560

Merged error: 0b

Counts
60 → 5

regimes173.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample577.0ms

Algorithm
intervals
Results
314.0ms8690×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid

Profiling

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